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Finding the Third Proportional to 368.13 and 766.63

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Solution

The third proportional to 368.13 and 766.63 is: 1,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.13 : 766.63 = 766.63 : x
  2. Step 2: Convert to fraction form
    368.13/766.63 = 766.63/x
  3. Step 3: Cross multiply
    368.13x = 766.63 × 766.63
  4. Step 4: Simplify right side
    368.13x = 587,713.89
  5. Step 5: Solve for x
    x = 587,713.89/368.13
  6. Step 6: Final answer
    x = 1,596.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.